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Finding the Fourth Proportional to 315,372.27, 435,310.29 and 194,551.23

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Solution

The fourth proportional to 315,372.27, 435,310.29 and 194,551.23 is: 268,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,372.27 : 435,310.29 = 194,551.23 : x
  2. Step 2: Convert to fraction form
    315,372.27/435,310.29 = 194,551.23/x
  3. Step 3: Cross multiply
    315,372.27x = 435,310.29 × 194,551.23
  4. Step 4: Simplify right side
    315,372.27x = 84,690,152,351.16
  5. Step 5: Solve for x
    x = 84,690,152,351.16/315,372.27
  6. Step 6: Final answer
    x = 268,540.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.